102101222112121 has 2 divisors, whose sum is σ = 102101222112122. Its totient is φ = 102101222112120.

The previous prime is 102101222112107. The next prime is 102101222112143. The reversal of 102101222112121 is 121211222101201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86951689894521 + 15149532217600 = 9324789^2 + 3892240^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101222112121 - 2²³ = 102101213723513 is a prime.

It is not a weakly prime, because it can be changed into another prime (102101222172121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050611056060 + 51050611056061.

It is an arithmetic number, because the mean of its divisors is an integer number (51050611056061).

Almost surely, 2^{102101222112121} is an apocalyptic number.

It is an amenable number.

102101222112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101222112121 is an equidigital number, since it uses as much as digits as its factorization.

102101222112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102101222112121 its reverse (121211222101201), we get a palindrome (223312444213322).

The spelling of 102101222112121 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".